Information on Result #1069163
Linear OOA(8143, 1640, F81, 4, 22) (dual of [(1640, 4), 6517, 23]-NRT-code), using OOA 4-folding based on linear OA(8143, 6560, F81, 22) (dual of [6560, 6517, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8154, 1722, F81, 4, 22) (dual of [(1722, 4), 6834, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8155, 1740, F81, 4, 22) (dual of [(1740, 4), 6905, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(8156, 1756, F81, 4, 22) (dual of [(1756, 4), 6968, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(8158, 1790, F81, 4, 22) (dual of [(1790, 4), 7102, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(8159, 1804, F81, 4, 22) (dual of [(1804, 4), 7157, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(8160, 1822, F81, 4, 22) (dual of [(1822, 4), 7228, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(8161, 1840, F81, 4, 22) (dual of [(1840, 4), 7299, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(8162, 1856, F81, 4, 22) (dual of [(1856, 4), 7362, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(8162, 1886, F81, 4, 22) (dual of [(1886, 4), 7482, 23]-NRT-code) | [i] | ||
| 10 | Digital (21, 43, 1640)-net over F81 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |